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The accepted value for the density of iron is 7.87 g/cm3. a student records the mass of a 20.00 cm3 block of iron as 153.8 grams. what is the percent error for the density measurement?
a. 2.29%
b. 2.34%
c. 19.4%
d. 7.69%

Respuesta :

The density of an object can be calculated using the formula Density = Mass/Volume.

Experimental Density:

Density = 153.8g / 20.00 cm^3
Density = 7.69g/cm^3

Percent error equation:

% Error = | Theoretical Value - Experimental Value|/Theoretical Value * 100
% Error = | 7.87g/cm^3 - 7.69g/cm^3|/7.87g/cm^3 * 100
% Error = 2.29%

Therefore a is the correct answer.

The percent error is 2.29%

The parameters given in the question are;

accepted value for density of iron is 7.87 g/cm³

mass of the block of iron is 20 cm³

volume= 153.8 grams

The first step is to calculate the experimental value density

= 153.8/20

= 7.69 g/cm³

Therefore the percent error can be calculated as follows;

= 7.87-7.69/7.89 × 100

= 0.18/7.89 × 100

= 0.0229  × 100

= 2.29

Hence the percent error for the density measurement is 2.29%

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